This is a geometrically non-linear (curved) beam element. The formulation can be found in papers written by Karan S. Surana, e.g: "1. Geometrically non-linear formulation for the axisymmetric shell elements" "2. Geometrically non-linear formulation for two dimensional curved beam elements" Discriptions of beam elements can be found in the following book, chapter 9. For 2D curved beams, see section 9.4: "Non-linear Finite element analysis of solids and structures" by De Borst et al. More...

#include <geo_curved_beam_element.hpp>

Inheritance diagram for Kratos::GeoCurvedBeamElement< TDim, TNumNodes >:

Collaboration diagram for Kratos::GeoCurvedBeamElement< TDim, TNumNodes >:

Public Types
using	IndexType = std::size_t

using	PropertiesType = Properties

using	NodeType = Node

using	GeometryType = Geometry< NodeType >

using	NodesArrayType = GeometryType::PointsArrayType

using	VectorType = Vector

using	MatrixType = Matrix

using	ShapeFunctionsGradientsType = GeometryData::ShapeFunctionsGradientsType

using	SizeType = std::size_t
	The definition of the sizetype. More...

using	ElementVariables = typename GeoStructuralBaseElement< TDim, TNumNodes >::ElementVariables

Public Types inherited from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >
typedef std::size_t	SizeType
	The definition of the sizetype. More...

Public Types inherited from Kratos::Element
typedef Element	ElementType
	definition of element type More...

typedef GeometricalObject	BaseType
	base type: an GeometricalObject that automatically has a unique number More...

typedef Node	NodeType
	definition of node type (default is: Node) More...

typedef Properties	PropertiesType

typedef Geometry< NodeType >	GeometryType
	definition of the geometry type with given NodeType More...

typedef Geometry< NodeType >::PointsArrayType	NodesArrayType
	definition of nodes container type, redefined from GeometryType More...

typedef Vector	VectorType

typedef Matrix	MatrixType

typedef std::size_t	IndexType

typedef std::size_t	SizeType

typedef Dof< double >	DofType

typedef std::vector< std::size_t >	EquationIdVectorType

typedef std::vector< DofType::Pointer >	DofsVectorType

typedef PointerVectorSet< DofType >	DofsArrayType

typedef GeometryData::IntegrationMethod	IntegrationMethod
	Type definition for integration methods. More...

typedef GeometryData	GeometryDataType

Public Types inherited from Kratos::GeometricalObject
typedef Node	NodeType
	Definition of the node type. More...

typedef Geometry< NodeType >	GeometryType
	The geometry type definition. More...

typedef std::size_t	IndexType
	Defines the index type. More...

typedef std::size_t	result_type
	Defines the result type. More...

Public Types inherited from Kratos::IndexedObject
typedef std::size_t	IndexType
	The definition of the index type. More...

typedef std::size_t	result_type
	The definition of the result_type. More...

Public Types inherited from Kratos::Flags
enum	FlagsList { Flag0 = BlockType(1) , Flag1 = BlockType(1) << 1 , Flag2 = BlockType(1) << 2 , Flag3 = BlockType(1) << 3 , Flag4 = BlockType(1) << 4 , Flag5 = BlockType(1) << 5 , Flag6 = BlockType(1) << 6 , Flag7 = BlockType(1) << 7 , Flag8 = BlockType(1) << 8 , Flag9 = BlockType(1) << 9 , Flag10 = BlockType(1) << 10 , Flag11 = BlockType(1) << 11 , Flag12 = BlockType(1) << 12 , Flag13 = BlockType(1) << 13 , Flag14 = BlockType(1) << 14 , Flag15 = BlockType(1) << 15 , Flag16 = BlockType(1) << 16 , Flag17 = BlockType(1) << 17 , Flag18 = BlockType(1) << 18 , Flag19 = BlockType(1) << 19 , Flag20 = BlockType(1) << 20 , Flag21 = BlockType(1) << 21 , Flag22 = BlockType(1) << 22 , Flag23 = BlockType(1) << 23 , Flag24 = BlockType(1) << 24 , Flag25 = BlockType(1) << 25 , Flag26 = BlockType(1) << 26 , Flag27 = BlockType(1) << 27 , Flag28 = BlockType(1) << 28 , Flag29 = BlockType(1) << 29 , Flag30 = BlockType(1) << 30 }

typedef int64_t	BlockType

typedef int64_t	FlagType

typedef std::size_t	IndexType

Public Member Functions
	KRATOS_CLASS_POINTER_DEFINITION (GeoCurvedBeamElement)

	GeoCurvedBeamElement (IndexType NewId=0)
	Default Constructor. More...

	GeoCurvedBeamElement (IndexType NewId, const NodesArrayType &ThisNodes)
	Constructor using an array of nodes. More...

	GeoCurvedBeamElement (IndexType NewId, GeometryType::Pointer pGeometry)
	Constructor using Geometry. More...

	GeoCurvedBeamElement (IndexType NewId, GeometryType::Pointer pGeometry, PropertiesType::Pointer pProperties)
	Constructor using Properties. More...

virtual	~GeoCurvedBeamElement ()
	Destructor. More...

Element::Pointer	Create (IndexType NewId, NodesArrayType const &ThisNodes, PropertiesType::Pointer pProperties) const override

Element::Pointer	Create (IndexType NewId, GeometryType::Pointer pGeom, PropertiesType::Pointer pProperties) const override
	It creates a new element pointer. More...

int	Check (const ProcessInfo &rCurrentProcessInfo) const override

void	CalculateMassMatrix (MatrixType &rMassMatrix, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateOnIntegrationPoints (const Variable< Matrix > &rVariable, std::vector< Matrix > &rOutput, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 3 >> &rVariable, std::vector< array_1d< double, 3 >> &rOutput, const ProcessInfo &rCurrentProcessInfo) override

Public Member Functions inherited from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >
	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (GeoStructuralBaseElement)

	GeoStructuralBaseElement (IndexType NewId=0)
	Default Constructor. More...

	GeoStructuralBaseElement (IndexType NewId, const NodesArrayType &ThisNodes)
	Constructor using an array of nodes. More...

	GeoStructuralBaseElement (IndexType NewId, GeometryType::Pointer pGeometry)
	Constructor using Geometry. More...

	GeoStructuralBaseElement (IndexType NewId, GeometryType::Pointer pGeometry, PropertiesType::Pointer pProperties)
	Constructor using Properties. More...

virtual	~GeoStructuralBaseElement ()
	Destructor. More...

Element::Pointer	Create (IndexType NewId, NodesArrayType const &ThisNodes, PropertiesType::Pointer pProperties) const override

Element::Pointer	Create (IndexType NewId, GeometryType::Pointer pGeom, PropertiesType::Pointer pProperties) const override
	It creates a new element pointer. More...

int	Check (const ProcessInfo &rCurrentProcessInfo) const override

void	Initialize (const ProcessInfo &rCurrentProcessInfo) override

void	GetDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const override

GeometryData::IntegrationMethod	GetIntegrationMethod () const override

void	CalculateLocalSystem (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateLeftHandSide (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateRightHandSide (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo) override

void	EquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const override

void	CalculateMassMatrix (MatrixType &rMassMatrix, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateDampingMatrix (MatrixType &rDampingMatrix, const ProcessInfo &rCurrentProcessInfo) override

void	GetValuesVector (Vector &rValues, int Step=0) const override

void	GetFirstDerivativesVector (Vector &rValues, int Step=0) const override

void	GetSecondDerivativesVector (Vector &rValues, int Step=0) const override

void	SetValuesOnIntegrationPoints (const Variable< double > &rVariable, const std::vector< double > &rValues, const ProcessInfo &rCurrentProcessInfo) override

Public Member Functions inherited from Kratos::Element
	Element (IndexType NewId=0)

	Element (IndexType NewId, const NodesArrayType &ThisNodes)

	Element (IndexType NewId, GeometryType::Pointer pGeometry)

	Element (IndexType NewId, GeometryType::Pointer pGeometry, PropertiesType::Pointer pProperties)

	Element (Element const &rOther)
	Copy constructor. More...

	~Element () override
	Destructor. More...

Element &	operator= (Element const &rOther)
	Assignment operator. More...

virtual Pointer	Clone (IndexType NewId, NodesArrayType const &ThisNodes) const
	It creates a new element pointer and clones the previous element data. More...

virtual void	ResetConstitutiveLaw ()

virtual void	InitializeSolutionStep (const ProcessInfo &rCurrentProcessInfo)

virtual void	InitializeNonLinearIteration (const ProcessInfo &rCurrentProcessInfo)

virtual void	FinalizeNonLinearIteration (const ProcessInfo &rCurrentProcessInfo)

virtual void	FinalizeSolutionStep (const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesContributions (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesLHS (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesRHS (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesContributions (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesLHS (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesRHS (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateLumpedMassVector (VectorType &rLumpedMassVector, const ProcessInfo &rCurrentProcessInfo) const

virtual void	AddExplicitContribution (const ProcessInfo &rCurrentProcessInfo)

virtual void	AddExplicitContribution (const VectorType &rRHSVector, const Variable< VectorType > &rRHSVariable, const Variable< double > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the double version) More...

virtual void	AddExplicitContribution (const VectorType &rRHSVector, const Variable< VectorType > &rRHSVariable, const Variable< array_1d< double, 3 > > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the vector version) More...

virtual void	AddExplicitContribution (const MatrixType &rLHSMatrix, const Variable< MatrixType > &rLHSVariable, const Variable< Matrix > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the matrix version) More...

virtual void	Calculate (const Variable< double > &rVariable, double &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	Calculate (const Variable< array_1d< double, 3 > > &rVariable, array_1d< double, 3 > &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	Calculate (const Variable< Vector > &rVariable, Vector &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	Calculate (const Variable< Matrix > &rVariable, Matrix &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< bool > &rVariable, std::vector< bool > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< int > &rVariable, std::vector< int > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< double > &rVariable, std::vector< double > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 4 >> &rVariable, std::vector< array_1d< double, 4 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 6 >> &rVariable, std::vector< array_1d< double, 6 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 9 >> &rVariable, std::vector< array_1d< double, 9 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< Vector > &rVariable, std::vector< Vector > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< ConstitutiveLaw::Pointer > &rVariable, std::vector< ConstitutiveLaw::Pointer > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< bool > &rVariable, const std::vector< bool > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< int > &rVariable, const std::vector< int > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 3 >> &rVariable, const std::vector< array_1d< double, 3 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 4 >> &rVariable, const std::vector< array_1d< double, 4 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 6 >> &rVariable, const std::vector< array_1d< double, 6 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 9 >> &rVariable, const std::vector< array_1d< double, 9 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< Vector > &rVariable, const std::vector< Vector > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< Matrix > &rVariable, const std::vector< Matrix > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< ConstitutiveLaw::Pointer > &rVariable, const std::vector< ConstitutiveLaw::Pointer > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	MassMatrix (MatrixType &rMassMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	AddMassMatrix (MatrixType &rLeftHandSideMatrix, double coeff, const ProcessInfo &rCurrentProcessInfo)

virtual void	DampMatrix (MatrixType &rDampMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	AddInertiaForces (VectorType &rRightHandSideVector, double coeff, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateLocalVelocityContribution (MatrixType &rDampingMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSensitivityMatrix (const Variable< double > &rDesignVariable, Matrix &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSensitivityMatrix (const Variable< array_1d< double, 3 > > &rDesignVariable, Matrix &rOutput, const ProcessInfo &rCurrentProcessInfo)

PropertiesType::Pointer	pGetProperties ()
	returns the pointer to the property of the element. Does not throw an error, to allow copying of elements which don't have any property assigned. More...

const PropertiesType::Pointer	pGetProperties () const

PropertiesType &	GetProperties ()

PropertiesType const &	GetProperties () const

void	SetProperties (PropertiesType::Pointer pProperties)

bool	HasProperties () const
	Check that the Element has a correctly initialized pointer to a Properties instance. More...

virtual const Parameters	GetSpecifications () const
	This method provides the specifications/requirements of the element. More...

std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print object's data. More...

	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (Element)

Public Member Functions inherited from Kratos::GeometricalObject
	GeometricalObject (IndexType NewId=0)
	Default constructor. More...

	GeometricalObject (IndexType NewId, GeometryType::Pointer pGeometry)
	Default constructor. More...

	~GeometricalObject () override
	Destructor. More...

	GeometricalObject (GeometricalObject const &rOther)
	Copy constructor. More...

GeometricalObject &	operator= (GeometricalObject const &rOther)
	Assignment operator. More...

virtual void	SetGeometry (GeometryType::Pointer pGeometry)
	Sets the pointer to the geometry. More...

GeometryType::Pointer	pGetGeometry ()
	Returns the pointer to the geometry. More...

const GeometryType::Pointer	pGetGeometry () const
	Returns the pointer to the geometry (const version) More...

GeometryType &	GetGeometry ()
	Returns the reference of the geometry. More...

GeometryType const &	GetGeometry () const
	Returns the reference of the geometry (const version) More...

Flags &	GetFlags ()
	Returns the flags of the object. More...

Flags const &	GetFlags () const
	Returns the flags of the object (const version) More...

void	SetFlags (Flags const &rThisFlags)
	Sets the flags of the object. More...

DataValueContainer &	Data ()

DataValueContainer &	GetData ()

DataValueContainer const &	GetData () const

void	SetData (DataValueContainer const &rThisData)

template<class TDataType >
bool	Has (const Variable< TDataType > &rThisVariable) const

template<class TVariableType >
void	SetValue (const TVariableType &rThisVariable, typename TVariableType::Type const &rValue)

template<class TVariableType >
TVariableType::Type &	GetValue (const TVariableType &rThisVariable)

template<class TVariableType >
TVariableType::Type const &	GetValue (const TVariableType &rThisVariable) const

std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print object's data. More...

unsigned int	use_count () const noexcept

	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (GeometricalObject)
	Pointer definition of GeometricalObject. More...

bool	IsActive () const
	Checks if the GeometricalObject is active. More...

Public Member Functions inherited from Kratos::IndexedObject
	IndexedObject (IndexType NewId=0)
	Default constructor. More...

virtual	~IndexedObject ()
	Destructor. More...

	IndexedObject (IndexedObject const &rOther)
	Copy constructor. More...

IndexedObject &	operator= (IndexedObject const &rOther)
	Assignment operator. More...

template<class TObjectType >
IndexType	operator() (TObjectType const &rThisObject) const

IndexType	Id () const

IndexType	GetId () const

virtual void	SetId (IndexType NewId)

IndexType &	DepricatedIdAccess ()
	TODO: remove this function when removing data_file_io object. More...

	KRATOS_CLASS_POINTER_DEFINITION (IndexedObject)
	Pointer definition of IndexedObject. More...

Public Member Functions inherited from Kratos::Flags
Flags &	operator= (Flags const &rOther)
	Assignment operator. More...

	operator bool () const

Flags	operator~ () const

bool	operator! () const

void	AssignFlags (Flags const &rOther)

void	Set (const Flags ThisFlag)

void	Set (const Flags ThisFlag, bool Value)

void	Reset (const Flags ThisFlag)

void	Flip (const Flags ThisFlag)

void	SetPosition (IndexType Position, bool Value=true)

bool	GetPosition (IndexType Position) const

void	FlipPosition (IndexType Position)

void	ClearPosition (IndexType Position)

void	Clear ()

Flags	AsFalse () const

bool	Is (Flags const &rOther) const

bool	IsDefined (Flags const &rOther) const

bool	IsNot (Flags const &rOther) const

bool	IsNotDefined (Flags const &rOther) const

	KRATOS_CLASS_POINTER_DEFINITION (Flags)
	Pointer definition of Flags. More...

const Flags &	operator\|= (const Flags &Other)

const Flags &	operator&= (const Flags &Other)

	Flags ()
	Default constructor. More...

	Flags (Flags const &rOther)
	Copy constructor. More...

virtual	~Flags ()
	Destructor. More...

Protected Member Functions
SizeType	GetCrossNumberIntegrationPoints () const override
	Member Variables. More...

SizeType	GetAlongNumberIntegrationPoints () const override

double	CalculateIntegrationCoefficient (unsigned int GPointCross, double detJ, double weight) const

virtual void	CalculateBMatrix (Matrix &B, unsigned int GPointCross, const BoundedMatrix< double, TDim, TDim > &InvertDetJacobian, ElementVariables &rVariables) const

virtual void	CalculateLocalBMatrix (Matrix &B, unsigned int GPointCross, const BoundedMatrix< double, TDim, TDim > &InvertDetJacobian, ElementVariables &rVariables) const

void	CalculateStrainVector (ElementVariables &rVariables) const

virtual void	CalculateAll (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo, const bool CalculateStiffnessMatrixFlag, const bool CalculateResidualVectorFlag) override

virtual void	CalculateAndAddLHS (MatrixType &rLeftHandSideMatrix, ElementVariables &rVariables) const

virtual void	CalculateAndAddRHS (VectorType &rRightHandSideVector, ElementVariables &rVariables, unsigned int GPoint) const

virtual void	CalculateLocalInternalForce (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateTransformationMatrix (Matrix &TransformationMatrix, const Matrix &GradNe) const

virtual void	CalculateNodalCrossDirection (Matrix &NodalCrossDirection) const override

virtual double	CalculateAngleAtGaussPoint (const Matrix &GradNe) const

virtual double	CalculateAngleAtNode (unsigned int GPoint, const BoundedMatrix< double, TNumNodes, TNumNodes > &DN_DXContainer) const

virtual void	CalculateJacobianMatrix (unsigned int GPointCross, const ElementVariables &rVariables, BoundedMatrix< double, TDim, TDim > &DeterminantJacobian) const

void	CalculateAndAddBodyForce (VectorType &rRightHandSideVector, ElementVariables &rVariables) const

void	CalculateAndAddStiffnessForce (VectorType &rRightHandSideVector, ElementVariables &rVariables, unsigned int GPoint) const

void	SetRotationalInertiaVector (const PropertiesType &Prop, Vector &RotationalInertia) const

void	InitializeElementVariables (ElementVariables &rVariables, ConstitutiveLaw::Parameters &rConstitutiveParameters, const GeometryType &Geom, const PropertiesType &Prop, const ProcessInfo &rCurrentProcessInfo) const override

void	InterpolateOnOutputPoints (Matrix &Values) const

void	InterpolateOnOutputPoints (Vector &Values) const

void	SetRotationalInertiaVector (const PropertiesType &rProp, Vector &rRotationalInertia) const

void	SetRotationalInertiaVector (const PropertiesType &rProp, Vector &rRotationalInertia) const

void	CalculateTransformationMatrix (Matrix &TransformationMatrix, const Matrix &GradNe) const

void	CalculateTransformationMatrix (Matrix &TransformationMatrix, const Matrix &GradNe) const

Protected Member Functions inherited from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >
virtual SizeType	GetTotalNumberIntegrationPoints () const

virtual void	GetNodalDofValuesVector (Vector &rNodalVariableVector, const GeometryType &Geom, IndexType SolutionStepIndex=0) const

virtual void	CalculateStiffnessMatrix (MatrixType &rStiffnessMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateRHS (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

Friends
class	Serializer
	Serialization. More...

Additional Inherited Members
Static Public Member Functions inherited from Kratos::GeometricalObject
static bool	HasSameType (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject have the same type. More...

static bool	HasSameType (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject have the same type (pointer version) More...

static bool	HasSameGeometryType (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject have the same geometry type. More...

static bool	HasSameGeometryType (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject have the same geometry type (pointer version) More...

static bool	IsSame (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject are the same. More...

static bool	IsSame (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject are the same (pointer version) More...

Static Public Member Functions inherited from Kratos::Flags
static const Flags	AllDefined ()

static const Flags	AllTrue ()

static Flags	Create (IndexType ThisPosition, bool Value=true)

Protected Attributes inherited from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >
GeometryData::IntegrationMethod	mThisIntegrationMethod

std::vector< ConstitutiveLaw::Pointer >	mConstitutiveLawVector

std::vector< Vector >	mStressVector

Static Protected Attributes inherited from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >
static constexpr SizeType	N_DOF_NODE = (TDim == 2 ? 3 : 6)

static constexpr SizeType	N_DOF_ELEMENT = N_DOF_NODE * TNumNodes

static constexpr SizeType	VoigtSize = (TDim == 3 ? VOIGT_SIZE_3D : VOIGT_SIZE_2D_PLANE_STRESS)

Detailed Description

template<unsigned int TDim, unsigned int TNumNodes>
class Kratos::GeoCurvedBeamElement< TDim, TNumNodes >

This is a geometrically non-linear (curved) beam element. The formulation can be found in papers written by Karan S. Surana, e.g: "1. Geometrically non-linear formulation for the axisymmetric shell elements" "2. Geometrically non-linear formulation for two dimensional curved beam elements" Discriptions of beam elements can be found in the following book, chapter 9. For 2D curved beams, see section 9.4: "Non-linear Finite element analysis of solids and structures" by De Borst et al.

Author: Vahid Galavi

Member Typedef Documentation

◆ ElementVariables

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::ElementVariables = typename GeoStructuralBaseElement<TDim, TNumNodes>::ElementVariables

◆ GeometryType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GeometryType = Geometry<NodeType>

◆ IndexType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::IndexType = std::size_t

◆ MatrixType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::MatrixType = Matrix

◆ NodesArrayType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::NodesArrayType = GeometryType::PointsArrayType

◆ NodeType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::NodeType = Node

◆ PropertiesType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::PropertiesType = Properties

◆ ShapeFunctionsGradientsType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::ShapeFunctionsGradientsType = GeometryData::ShapeFunctionsGradientsType

◆ SizeType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::SizeType = std::size_t

The definition of the sizetype.

◆ VectorType

template<unsigned int TDim, unsigned int TNumNodes>

using Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::VectorType = Vector

Constructor & Destructor Documentation

◆ GeoCurvedBeamElement() [1/4]

template<unsigned int TDim, unsigned int TNumNodes>

Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GeoCurvedBeamElement ( IndexType NewId = 0 )

inline

Default Constructor.

◆ GeoCurvedBeamElement() [2/4]

template<unsigned int TDim, unsigned int TNumNodes>

Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GeoCurvedBeamElement	(	IndexType	NewId,
		const NodesArrayType &	ThisNodes
	)

inline

Constructor using an array of nodes.

◆ GeoCurvedBeamElement() [3/4]

template<unsigned int TDim, unsigned int TNumNodes>

Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GeoCurvedBeamElement	(	IndexType	NewId,
		GeometryType::Pointer	pGeometry
	)

inline

Constructor using Geometry.

◆ GeoCurvedBeamElement() [4/4]

template<unsigned int TDim, unsigned int TNumNodes>

Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GeoCurvedBeamElement	(	IndexType	NewId,
		GeometryType::Pointer	pGeometry,
		PropertiesType::Pointer	pProperties
	)

inline

Constructor using Properties.

◆ ~GeoCurvedBeamElement()

template<unsigned int TDim, unsigned int TNumNodes>

virtual Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::~GeoCurvedBeamElement ( )

inlinevirtual

Destructor.

Member Function Documentation

◆ CalculateAll()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAll	(	MatrixType &	rLeftHandSideMatrix,
		VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo,
		const bool	CalculateStiffnessMatrixFlag,
		const bool	CalculateResidualVectorFlag
	)

overrideprotectedvirtual

Reimplemented from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >.

◆ CalculateAndAddBodyForce()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAndAddBodyForce	(	VectorType &	rRightHandSideVector,
		ElementVariables &	rVariables
	)		const

protected

◆ CalculateAndAddLHS()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAndAddLHS	(	MatrixType &	rLeftHandSideMatrix,
		ElementVariables &	rVariables
	)		const

protectedvirtual

◆ CalculateAndAddRHS()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAndAddRHS	(	VectorType &	rRightHandSideVector,
		ElementVariables &	rVariables,
		unsigned int	GPoint
	)		const

protectedvirtual

◆ CalculateAndAddStiffnessForce()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAndAddStiffnessForce	(	VectorType &	rRightHandSideVector,
		ElementVariables &	rVariables,
		unsigned int	GPoint
	)		const

protected

◆ CalculateAngleAtGaussPoint()

template<unsigned int TDim, unsigned int TNumNodes>

double Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAngleAtGaussPoint ( const Matrix & GradNe ) const

protectedvirtual

◆ CalculateAngleAtNode()

template<unsigned int TDim, unsigned int TNumNodes>

double Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateAngleAtNode	(	unsigned int	GPoint,
		const BoundedMatrix< double, TNumNodes, TNumNodes > &	DN_DXContainer
	)		const

protectedvirtual

◆ CalculateBMatrix()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateBMatrix	(	Matrix &	B,
		unsigned int	GPointCross,
		const BoundedMatrix< double, TDim, TDim > &	InvertDetJacobian,
		ElementVariables &	rVariables
	)		const

protectedvirtual

◆ CalculateIntegrationCoefficient()

template<unsigned int TDim, unsigned int TNumNodes>

double Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateIntegrationCoefficient	(	unsigned int	GPointCross,
		double	detJ,
		double	weight
	)		const

protected

◆ CalculateJacobianMatrix()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateJacobianMatrix	(	unsigned int	GPointCross,
		const ElementVariables &	rVariables,
		BoundedMatrix< double, TDim, TDim > &	DeterminantJacobian
	)		const

protectedvirtual

◆ CalculateLocalBMatrix()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateLocalBMatrix	(	Matrix &	B,
		unsigned int	GPointCross,
		const BoundedMatrix< double, TDim, TDim > &	InvertDetJacobian,
		ElementVariables &	rVariables
	)		const

protectedvirtual

◆ CalculateLocalInternalForce()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateLocalInternalForce	(	VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

protectedvirtual

◆ CalculateMassMatrix()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateMassMatrix	(	MatrixType &	rMassMatrix,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Reimplemented from Kratos::Element.

◆ CalculateNodalCrossDirection()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateNodalCrossDirection ( Matrix & NodalCrossDirection ) const

overrideprotectedvirtual

Reimplemented from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >.

◆ CalculateOnIntegrationPoints() [1/2]

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateOnIntegrationPoints	(	const Variable< array_1d< double, 3 >> &	rVariable,
		std::vector< array_1d< double, 3 >> &	rOutput,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Reimplemented from Kratos::Element.

◆ CalculateOnIntegrationPoints() [2/2]

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateOnIntegrationPoints	(	const Variable< Matrix > &	rVariable,
		std::vector< Matrix > &	rOutput,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Reimplemented from Kratos::Element.

◆ CalculateStrainVector()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateStrainVector ( ElementVariables & rVariables ) const

protected

◆ CalculateTransformationMatrix() [1/3]

void Kratos::GeoCurvedBeamElement< 2, 3 >::CalculateTransformationMatrix	(	Matrix &	TransformationMatrix,
		const Matrix &	GradNe
	)		const

protected

◆ CalculateTransformationMatrix() [2/3]

void Kratos::GeoCurvedBeamElement< 3, 3 >::CalculateTransformationMatrix	(	Matrix &	TransformationMatrix,
		const Matrix &	GradNe
	)		const

protected

◆ CalculateTransformationMatrix() [3/3]

template<unsigned int TDim, unsigned int TNumNodes>

virtual void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::CalculateTransformationMatrix	(	Matrix &	TransformationMatrix,
		const Matrix &	GradNe
	)		const

protectedvirtual

◆ Check()

template<unsigned int TDim, unsigned int TNumNodes>

int Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::Check ( const ProcessInfo & rCurrentProcessInfo ) const

overridevirtual

This method provides the place to perform checks on the completeness of the input and the compatibility with the problem options as well as the contitutive laws selected It is designed to be called only once (or anyway, not often) typically at the beginning of the calculations, so to verify that nothing is missing from the input or that no common error is found.

Parameters

rCurrentProcessInfo this method is: MANDATORY

Reimplemented from Kratos::Element.

◆ Create() [1/2]

template<unsigned int TDim, unsigned int TNumNodes>

Element::Pointer Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::Create	(	IndexType	NewId,
		GeometryType::Pointer	pGeom,
		PropertiesType::Pointer	pProperties
	)		const

overridevirtual

It creates a new element pointer.

Parameters

NewId	the ID of the new element
pGeom	the geometry to be employed
pProperties	the properties assigned to the new element

Returns: a Pointer to the new element

Reimplemented from Kratos::Element.

◆ Create() [2/2]

template<unsigned int TDim, unsigned int TNumNodes>

Element::Pointer Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::Create	(	IndexType	NewId,
		NodesArrayType const &	ThisNodes,
		PropertiesType::Pointer	pProperties
	)		const

overridevirtual

Reimplemented from Kratos::Element.

◆ GetAlongNumberIntegrationPoints()

template<unsigned int TDim, unsigned int TNumNodes>

SizeType Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GetAlongNumberIntegrationPoints

overrideprotectedvirtual

Reimplemented from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >.

◆ GetCrossNumberIntegrationPoints()

template<unsigned int TDim, unsigned int TNumNodes>

SizeType Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::GetCrossNumberIntegrationPoints

overrideprotectedvirtual

Member Variables.

Reimplemented from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >.

◆ InitializeElementVariables()

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::InitializeElementVariables	(	ElementVariables &	rVariables,
		ConstitutiveLaw::Parameters &	rConstitutiveParameters,
		const GeometryType &	Geom,
		const PropertiesType &	Prop,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

overrideprotectedvirtual

Reimplemented from Kratos::GeoStructuralBaseElement< TDim, TNumNodes >.

◆ InterpolateOnOutputPoints() [1/2]

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::InterpolateOnOutputPoints ( Matrix & Values ) const

protected

◆ InterpolateOnOutputPoints() [2/2]

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::InterpolateOnOutputPoints ( Vector & Values ) const

protected

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<unsigned int TDim, unsigned int TNumNodes>

Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::KRATOS_CLASS_POINTER_DEFINITION ( GeoCurvedBeamElement< TDim, TNumNodes > )

◆ SetRotationalInertiaVector() [1/3]

template<unsigned int TDim, unsigned int TNumNodes>

void Kratos::GeoCurvedBeamElement< TDim, TNumNodes >::SetRotationalInertiaVector	(	const PropertiesType &	Prop,
		Vector &	RotationalInertia
	)		const

protected

◆ SetRotationalInertiaVector() [2/3]

void Kratos::GeoCurvedBeamElement< 3, 3 >::SetRotationalInertiaVector	(	const PropertiesType &	rProp,
		Vector &	rRotationalInertia
	)		const

protected

◆ SetRotationalInertiaVector() [3/3]

void Kratos::GeoCurvedBeamElement< 2, 3 >::SetRotationalInertiaVector	(	const PropertiesType &	rProp,
		Vector &	rRotationalInertia
	)		const

protected

Friends And Related Function Documentation

◆ Serializer

template<unsigned int TDim, unsigned int TNumNodes>

friend class Serializer

friend

Serialization.

The documentation for this class was generated from the following files:

/home/runner/work/Documentation/Documentation/master/applications/GeoMechanicsApplication/custom_elements/geo_curved_beam_element.hpp
/home/runner/work/Documentation/Documentation/master/applications/GeoMechanicsApplication/custom_elements/geo_curved_beam_element.cpp

Public Types

Public Member Functions

Protected Member Functions

Friends

Additional Inherited Members

Detailed Description

template<unsigned int TDim, unsigned int TNumNodes> class Kratos::GeoCurvedBeamElement< TDim, TNumNodes >

Member Typedef Documentation

◆ ElementVariables

◆ GeometryType

◆ IndexType

◆ MatrixType

◆ NodesArrayType

◆ NodeType

◆ PropertiesType

◆ ShapeFunctionsGradientsType

◆ SizeType

◆ VectorType

Constructor & Destructor Documentation

◆ GeoCurvedBeamElement() [1/4]

◆ GeoCurvedBeamElement() [2/4]

◆ GeoCurvedBeamElement() [3/4]

◆ GeoCurvedBeamElement() [4/4]

◆ ~GeoCurvedBeamElement()

Member Function Documentation

◆ CalculateAll()

◆ CalculateAndAddBodyForce()

◆ CalculateAndAddLHS()

◆ CalculateAndAddRHS()

◆ CalculateAndAddStiffnessForce()

◆ CalculateAngleAtGaussPoint()

◆ CalculateAngleAtNode()

◆ CalculateBMatrix()

◆ CalculateIntegrationCoefficient()

◆ CalculateJacobianMatrix()

◆ CalculateLocalBMatrix()

◆ CalculateLocalInternalForce()

◆ CalculateMassMatrix()

◆ CalculateNodalCrossDirection()

◆ CalculateOnIntegrationPoints() [1/2]

◆ CalculateOnIntegrationPoints() [2/2]

◆ CalculateStrainVector()

◆ CalculateTransformationMatrix() [1/3]

◆ CalculateTransformationMatrix() [2/3]

◆ CalculateTransformationMatrix() [3/3]

◆ Check()

◆ Create() [1/2]

◆ Create() [2/2]

◆ GetAlongNumberIntegrationPoints()

◆ GetCrossNumberIntegrationPoints()

◆ InitializeElementVariables()

◆ InterpolateOnOutputPoints() [1/2]

◆ InterpolateOnOutputPoints() [2/2]

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ SetRotationalInertiaVector() [1/3]

◆ SetRotationalInertiaVector() [2/3]

◆ SetRotationalInertiaVector() [3/3]

Friends And Related Function Documentation

◆ Serializer

template<unsigned int TDim, unsigned int TNumNodes>
class Kratos::GeoCurvedBeamElement< TDim, TNumNodes >